Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system

J.-H.Li; S.-Y.Lou; K.-W.Chow

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Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system

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Exact doubly periodic standing wave patterns of　the Davey-Stewartson (DS) equations are derived in terms　of rational expressions of elliptic functions.In fluid mechanics,DS equations govern the evolution of weakly nonlinear,free surface wave packets when long wavelength modulations in two mutually perpendicular,horizontal directions are　incorporated.Elliptic functions with two different moduli　(periods) are necessary in the two directions.The relation　between the moduli and the wave numbers constitutes the　dispersion relation of such waves.In the long wave limit,localized pulses are recovered.

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《力学学报：英文版》 |2011年第5期|620-626|共7页
作者
J.-H.Li; S.-Y.Lou; K.-W.Chow;
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Department of Mechanical Engineering,University of Hong Kong,Pokfulam Road, Hong Kong, China;

Department of Physics,Shanghai Jiao Tong University,200030 Shanghai, China;

Department of Mechanical Engineering,University of Hong Kong,Pokfulam Road, Hong Kong, China;

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Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system

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